All categories

3 years ago

Find the distance between 2-3i and 9+21i

Mathematics

1 answer:

Andre45 [30]3 years ago

6 0

Answer:

Step-by-step explanation:

The distance is the magnitude of the difference:

|(2 -3i) -(9 +21i)| = |-7 +24i| = √((-7)² +24²) = √625 = 25

The distance between the two points in the complex plane is 25 units.

You might be interested in

Simplify.<br> (2x2 - 5x + 3) - (-x2 + 4x - 5)

vlada-n [284]

Answer:

Simplify.

(2x2 - 5x + 3) - (-x2 + 4x - 5)

the answer is -7x +12

Step-by-step explanation:

the question can be solved using BODMAS law

from Simplify.

(2x2 - 5x + 3) - (-x2 + 4x - 5)

opening the bracket

4-5x + 3 + 2x - 4x + 5

collecting the like terms we have;

12-7x

therfore ; -7x + 12

8 0

3 years ago

On a fair 6 sided number die: What is P( rolling an 8)

elena55 [62]

Answer:

There is no chance of rolling an 8

I hope this helps you. Let me know if I did this correctly.

7 0

4 years ago

Which of the following is a valid objective function for a linear programming problem

OLga [1]

The objective function of a linear programming problem is a linear function.

A valid objective function is (b) Min 4x+3y+(2/3)z

The form of the objective function of a linear programming problem is:

$\mathbf{ax + by + cz +.....}$

The above function means that:

The objective function cannot contain the product of the variables
The objective function cannot contain the quotient of the variables

The above highlights mean that:

The objective function can contain the sum of the variables
The objective function can contain the difference of the variables

Hence, the valid objective function is (b) Min 4x+3y+(2/3)z

Read more about objective functions at:

brainly.com/question/11206462

8 0

3 years ago

Use the area to find the radius. If you could include steps that’ll be very helpful :)

Marizza181 [45]

Answer:

Radius = 13 m

Step-by-step explanation:

Formula for area of circle is given as:

$A = \pi {r}^{2} \\ \\ \therefore \: 169\pi \: = \pi {r}^{2} \\ \\ \therefore \: {r}^{2} = \frac{169\pi }{\pi} \\ \\ \therefore \: {r}^{2} = 169 \\ \\ \therefore \: {r} = \pm \sqrt{169} \\ \\\therefore \: r = \pm \: 13 \: m \\ \\ \because \: radius \: of \: a \: circle \: can \: not \: be \: a \: negative \: \\quantity \\ \\ \huge \red{ \boxed{\therefore \: r = 13 \: m }}$

5 0

3 years ago

What is the mean ?<br> -4 9 -8 0 10 1 4 3 0 -5

Genrish500 [490]

I think it’s 3 because

8 0

3 years ago